Question

Given that ABC ~ DEC, find the value of x (picture included)

Answer 1

sides that correspond in each similar shape, maintain a ratio
so we can say by looking at the triangles

that on the bigger, 30, corresponds to 18 on the smaller one

we can also say that
AC on the bigger, corresponds to CD

so in ratio terms we can say that \(\bf \cfrac{30}{18}=\cfrac{AC}{CD}\)

solve for "x"

Answer 2

(2x-1)(30)=(18)(x-1) now multiply and let me know what you get

Answer 3

0.28 ?

Answer 4

nvm

Answer 5

@Dman2012 what do you mean never mind, clearly i need help

Answer 6

Because I don't think my equation was right but are there answer choices?

Answer 7

no, just what i posted.

Answer 8

ok cause I got 1.14

Answer 9

like @jdoe said above :
30/18 = AC/CD
30/18 = (2x-1)/(x+1)
5/3 = (2x-1)/(x+1)
cross multiple. we get
5(x+1) = 3(2x-1)
5x + 5 = 6x - 3
continue it ...

Answer 10

i got x =8

Answer 11

that's right

Answer 12

thank you :)

Answer 13

im giving you best response.

Answer 14

welcome